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Finding the Third Proportional to 189,739 and 285,855

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Solution

The third proportional to 189,739 and 285,855 is: 430,660.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,739 : 285,855 = 285,855 : x
  2. Step 2: Convert to fraction form
    189,739/285,855 = 285,855/x
  3. Step 3: Cross multiply
    189,739x = 285,855 × 285,855
  4. Step 4: Simplify right side
    189,739x = 81,713,081,025
  5. Step 5: Solve for x
    x = 81,713,081,025/189,739
  6. Step 6: Final answer
    x = 430,660.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.